Publication date
February 2000
DOI Publisher
Wiley ISSN
0024-6107 Journal
Journal of the London Mathematical Society Language
EnglishAbstract
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135280/1/jlms0025.pd
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135280/1/jlms0025.pd
AbstractLet Fx1,…,xs be a form of degree d with integer coefficients. How large must s be to ensure ...
We will give new upper bounds for the number of solutions to the inequalities of the shape $|F(x , y...
AbstractPólya proved that if a form (homogeneous polynomial) with real coefficients is positive on t...
In this thesis, we consider conditions under which certain quadratic and cubic Diophantine inequalit...
Denote by s(r)0 the least integer such that if s⩾s(r)0 , and F is a cubic form with real coe...
AbstractIf F is a form of odd degree k with real coefficients in s variables where s ≥ c1(k), then t...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135196/1/blms0556.pd
Erd\"os and Obl\'ath proved that the equation $n!\pm m!=x^p$ has only finitely many integer solution...
1. Let f (x1, x2, ..., xn) be a homogeneous form with real coefficients in n variables x1, x2, ..., ...
This paper is devoted to the establishment of explicit bounds on the rational function solutions of ...
In 1876 Brocard, and independently in 1913 Ramanujan, asked to find all integer solutions for the eq...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135443/1/jlms0657.pd
AbstractGiven a real homogeneous polynomial F, strictly positive in the non-negative orthant, Pólya'...
AbstractLet R[X] be the real polynomial ring in n variables. Pólya’s Theorem says that if a homogene...
In this note, we show that the ABC-conjecture implies that a diophantine equation of the form P(x) =...
AbstractLet Fx1,…,xs be a form of degree d with integer coefficients. How large must s be to ensure ...
We will give new upper bounds for the number of solutions to the inequalities of the shape $|F(x , y...
AbstractPólya proved that if a form (homogeneous polynomial) with real coefficients is positive on t...
In this thesis, we consider conditions under which certain quadratic and cubic Diophantine inequalit...
Denote by s(r)0 the least integer such that if s⩾s(r)0 , and F is a cubic form with real coe...
AbstractIf F is a form of odd degree k with real coefficients in s variables where s ≥ c1(k), then t...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135196/1/blms0556.pd
Erd\"os and Obl\'ath proved that the equation $n!\pm m!=x^p$ has only finitely many integer solution...
1. Let f (x1, x2, ..., xn) be a homogeneous form with real coefficients in n variables x1, x2, ..., ...
This paper is devoted to the establishment of explicit bounds on the rational function solutions of ...
In 1876 Brocard, and independently in 1913 Ramanujan, asked to find all integer solutions for the eq...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135443/1/jlms0657.pd
AbstractGiven a real homogeneous polynomial F, strictly positive in the non-negative orthant, Pólya'...
AbstractLet R[X] be the real polynomial ring in n variables. Pólya’s Theorem says that if a homogene...
In this note, we show that the ABC-conjecture implies that a diophantine equation of the form P(x) =...
AbstractLet Fx1,…,xs be a form of degree d with integer coefficients. How large must s be to ensure ...
We will give new upper bounds for the number of solutions to the inequalities of the shape $|F(x , y...
AbstractPólya proved that if a form (homogeneous polynomial) with real coefficients is positive on t...
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